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Finding the Third Proportional to 8.65 and 12.87

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Solution

The third proportional to 8.65 and 12.87 is: 19.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.65 : 12.87 = 12.87 : x
  2. Step 2: Convert to fraction form
    8.65/12.87 = 12.87/x
  3. Step 3: Cross multiply
    8.65x = 12.87 × 12.87
  4. Step 4: Simplify right side
    8.65x = 165.56
  5. Step 5: Solve for x
    x = 165.56/8.65
  6. Step 6: Final answer
    x = 19.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.